09-19 Viorel Iftimie, Marius Mantoiu, Radu Purice

Commutator Criteria for Magnetic Pseudo-differential Operators (165K, Latex) Feb 3, 09

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Abstract. The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove criteria in terms of commutators for operators to be magnetic pseudo-differential operators of suitable symbol classes. The approach is completely intrinsic; neither the statements nor the proofs depend on a choice of a vector potential. We apply this criteria to inversion problems, functional calculus, affiliation results and to the study of the evolution group generated by a magnetic pseudo-differential operator.

Files: 09-19.src( 09-19.keywords , IMP-comm-preprint.tex )